Linear differential equations with interval spectrum

Johnson, Russell A.

doi:10.1090/S0002-9939-1980-0574514-5

Linear differential equations with interval spectrum
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Proc. Amer. Math. Soc. 80 (1980), 90-94 Request permission

Abstract:

Let E be the set of equations in the hull of a fixed two-dimensional, almost-periodic, linear differential equation with interval spectrum which admit a bounded solution. Among other things, we prove that E is of first category and of measure zero.

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